Journal of Theoretical Physics & Mathematics Research
- ISSN: 3065-8802
Etido P Inyang
Aims: This study investigates the approximate analytical solutions of the Schrödinger equation for diatomic molecules (NO
and CO) in a medium containing topological defects. By employing the Screened Kratzer and Eckart potentials, the research
examines how these defects influence energy spectra and quantum information measures, specifically Fisher information and
Shannon entropy.
Method: The parametric Nikiforov-Uvarov method is applied to obtain bound-state energy eigenvalues and wavefunctions of the
Schrödinger equation under the Screened Kratzer-Eckart potential in a defected medium. The study further evaluates quantum
information measures, including Fisher information and Shannon entropy, to analyze wavefunction localization. Additionally,
the Bia�?ynicki-Birula–Mycielski and Stam–Cramér–Rao inequalities are verified to ensure the consistency of computed Shannon
entropy and Fisher information entropy values.
Results: The findings indicate that topological defects significantly alter energy levels, wavefunction distributions, and quantum
information measures in NO and CO molecules. The energy spectra and molecular wavefunctions exhibit notable modifications
due to defect-induced distortions. Shannon entropy analysis confirms the uncertainty principle, showing an inverse relationship
between position and momentum entropies. Additionally, the satisfaction of the Bia�?ynicki-Birula–Mycielski and Stam–Cramér–
Rao inequalities further supports the reliability of the entropy and Fisher information results.
Conclusions: This study provides valuable insights into the impact of topological defects on quantum properties of diatomic
molecules, with significant implications for quantum mechanics, molecular physics, and materials science. The findings
contribute to the understanding of energy spectra modifications, wavefunction localization, and quantum information
measures in defected media. These results have potential applications in molecular spectroscopy, quantum information theory,
and materials engineering, paving the way for further research on molecular systems in complex quantum environments.